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4vir4ik [10]
3 years ago
15

Can you please help me olve theses

Mathematics
1 answer:
Mashcka [7]3 years ago
7 0
<h3>Answer:</h3>

f(x) = 0 \text{ when } x = \bold{1}

f(-7) =\bold{224}

<h3>Step-by-step explanation:</h3>

Solving for the input, \bold{x}, given the output:

Given:

f(x) = 4x -4

Solving for x from the equation, f(x) = 0:

f(x) = 0 \\ 4x -4 = 0 \\ 4x = 4 \\ x = \frac{4}{4} \\ x = 1

Solving for the output, \bold{f(x)}, given the input.

Given:

f(x) = 4x^2 -4x

Solving f(-7):

f(-7) = 4(-7)^2 -4(-7) \\ f(-7) = 4(49) -4(-7) \\ f(-7) = 196 +28 \\ f(-7) = 224

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What is the discontinuity and zero of the function f(x) = 3x^2 + x - 4 / x-1
7nadin3 [17]
Ans: Option (1) <span>Discontinuity at (1, 7), zero at ( negative four thirds , 0) 
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Explanation:
Given function:
f(x) =  \frac{3x^2 + x - 4}{x-1}

Now if we plug in the x = 1, we would have discontinuity as function goes to infinity.

Now for f(1):
f(x) = \frac{3x^2 + x - 4}{x-1} \\ f(x) = \frac{3x^2 + 4x - 3x - 4}{x-1} \\ f(x) = \frac{x(3x+4)-1(3x+4)}{x-1} \\ f(x) = \frac{(x-1)(3x+4)}{(x-1)} \\ f(x) = 3x+4 \\ now ~ insert ~ x=1: \\ f(1) = 3(1) + 4 = 7 \\ It~means~discontinuity~at~(1,7).\\ Now~let~us~find~zeros.\\ put~ f(x) = 3x+4 ~ equals~ to ~zero. \\ =\ \textgreater \ ~3x+4 = 0 \\ =\ \textgreater \  ~ x =  \frac{-4}{3} \\ Hence~zeros=(  \frac{-4}{3}, 0)

5 0
3 years ago
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weeeeeb [17]

Answer:

  • slope: -5/3
  • y-intercept: 2
  • x-intercept: 6/5 = 1.2

Step-by-step explanation:

Finding the slope is perhaps easiest done by solving for y.

  5x -6 = -3y . . . . subtract 3

  y = -5/3x +2 . . . divide by -3

This is slope-intercept form, so we can see both the slope (the coefficient of x, -5/3) and the y-intercept (the constant, +2).

__

To find the x-intercept, we set y=0 and solve for x. This might be most easily done using the original equation:

  5x -3 = 0 +3 . . . . set y = 0

  5x = 6 . . . . . . . . . add 3 to get the x-term by itself

  x = 6/5 = 1.2 . . . . divide by the coefficient of x. This is the x-intercept.

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Slope = -5/3

y-intercept = 2

x-intercept = 6/5

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